In variational calculation, we have obtained the binding energy of helium 3
dimer in two dimensions. The existence of one bound state, with the bindin
g energy -0.014 mK, has been definitively found. Also, the existence of a b
inding state of helium 3 trimer having spin -1/2 with the energy below -0.0
057 mK is indicated. This reopens the question of the existence of the gas
phase of many helium 3 atoms on the surface of superfluid helium 4.